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Finding the Fourth Proportional to 538,286.31, 807,239.93 and 159,106.07

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Solution

The fourth proportional to 538,286.31, 807,239.93 and 159,106.07 is: 238,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,286.31 : 807,239.93 = 159,106.07 : x
  2. Step 2: Convert to fraction form
    538,286.31/807,239.93 = 159,106.07/x
  3. Step 3: Cross multiply
    538,286.31x = 807,239.93 × 159,106.07
  4. Step 4: Simplify right side
    538,286.31x = 128,436,774,031.95
  5. Step 5: Solve for x
    x = 128,436,774,031.95/538,286.31
  6. Step 6: Final answer
    x = 238,603.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.